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Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Alexey Bobtsov , Vladimir Virobyev , Nikolay Nikolaev , Anton Pyrkin , Romeo Ortega

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

This paper introduces a novel distributed consensus-based observer design that enables a group of agents in an undirected communication network to solve the problem of target tracking, where the target is modelled as a chain of integrators…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Marcelo Jacinto , Pedro Trindade , Francisco Rego , Rita Cunha

Accurate knowledge of the state variables in a dynamical system is critical for effective control, diagnosis, and supervision, especially when direct measurements of all states are infeasible. This paper presents a novel approach to…

Dynamical Systems · Mathematics 2025-07-10 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal

The duality between controllability and observability enables methods developed for full-state control to be applied to full-state estimation, and vice versa. In applications in which control or estimation of all state variables is…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Arthur N. Montanari , Chao Duan , Adilson E. Motter

Unknown-input observers (UIOs) allow for estimation of the states of an LTI system without knowledge of all inputs. In this paper, we provide a novel data-driven UIO based on behavioral system theory and the result known as Fundamental…

Systems and Control · Electrical Eng. & Systems 2021-07-23 Mustafa Sahin Turan , Giancarlo Ferrari-Trecate

When complex systems with nonlinear dynamics achieve an output performance objective, only a fraction of the state dynamics significantly impacts that output. Those minimal state dynamics can be identified using the differential geometric…

Optimization and Control · Mathematics 2022-10-19 Shara Balakrishnan , Aqib Hasnain , Robert Egbert , Enoch Yeung

Networks are landmarks of many complex phenomena where interweaving interactions between different agents transform simple local rule-sets into nonlinear emergent behaviors. While some recent studies unveil associations between the network…

Social and Information Networks · Computer Science 2021-08-05 Ali Tavasoli , Teague Henry , Heman Shakeri

This paper discusses a general framework for designing robust state estimators for a class of discrete-time nonlinear systems. We consider systems that may be impacted by impulsive (sparse but otherwise arbitrary) measurement noise…

Optimization and Control · Mathematics 2026-05-13 Laurent Bako , Madiha Nadri , Vincent Andrieu , Qinghua Zhang

All physical laws are described as relationships between state variables that give a complete and non-redundant description of the relevant system dynamics. However, despite the prevalence of computing power and AI, the process of…

Dynamical Systems · Mathematics 2021-12-21 Boyuan Chen , Kuang Huang , Sunand Raghupathi , Ishaan Chandratreya , Qiang Du , Hod Lipson

The robust distributed state estimation for a class of continuous-time linear time-invariant systems is achieved by a novel kernel-based distributed observer, which, for the first time, ensures fixed-time convergence properties. The…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Pudong Ge , Peng Li , Boli Chen , Fei Teng

In this paper, we propose linear operator theoretic framework involving Koopman operator for the data-driven identification of power system dynamics. We explicitly account for noise in the time series measurement data and propose robust…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Pranav Sharma , Bowen Huang , Umesh Vaidya , Venkatramana Ajjarapu

This paper proposes a novel approach for designing functional observers for nonlinear systems, with linear error dynamics and assignable poles. Sufficient conditions for functional observability are first derived, leading to functional…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Costas Kravaris

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

In this work, we consider a state estimation problem for large-scale nonlinear processes in the absence of first-principles process models. By exploiting process operation data, both process modeling and state estimation design are…

Systems and Control · Electrical Eng. & Systems 2024-04-11 Xiaojie Li , Song Bo , Xuewen Zhang , Yan Qin , Xunyuan Yin

This work provides a framework for data-driven control of discrete time systems with unknown input-output dynamics and outputs controllable by the inputs. This framework leads to stable and robust real-time control of the system such that a…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Amit K. Sanyal

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

Dynamical Systems · Mathematics 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie